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Sagot :
Of the following, a sequence which is not a geometric sequence is 3, 6, 9, ... (Option A)
A geometric sequence refers to a sequence in which each term is determined by multiplying the preceding term by the same value which is called the common ratio (r). Hence, the common ratio determined by dividing a term by preceding term is constant in a geometric sequence.
In the given options,
A) r = 6/3 ≠ 9/6
B) r = 9/3 = 27/9 = 3
C) r = 8/4 = 16/8 = 2
D) r = -7/7 =7/-7 = -7/7 = -1
As the common ratio r is constant for option B, C and D, they are geometric sequences. The ratio between consecutive terms is not the same for option A, it is not a geometric sequence.
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